# Symmetry and shape coexistence in 10Be

Published in Bulgarian Journal of Physics, 2022

DOI: 10.55318/bgjp.2022.49.1.057 | arXiv: 2112.04056
Recommended citation: M. A. Caprio, A.E. McCoy, P. J. Fasano, and T. Dytrych, Bulg. J. Phys. 49, 057066 (2022) (download)

Within the low-lying spectrum of 10Be, multiple rotational bands are found, with strikingly different moments of inertia. A proposed interpretation has been that these bands variously represent triaxial rotation and prolate axially-deformed rotation. The bands are well-reproduced in ab initio no-core configuration interaction (NCCI) calculations. We use the calculated wave functions to elucidate the nuclear shapes underlying these bands, by examining the Elliott $\mathrm{SU}(3)$ symmetry content of these wave functions. The ab initio results support an interpretation in which the ground-state band, along with an accompanying $K=2$ side band, represent a triaxial rotor, arising from an $\mathrm{SU}(3)$ irreducible representation in the $0\hbar\omega$ space. Then, the lowest excited $K=0$ band represents a prolate rotor, arising from an $\mathrm{SU}(3)$ irreducible representation in the $2\hbar\omega$ space.